Mastering Scientific Notation: Conversions & Multiplications

A scientist measures the mass of a small particle as 3.5 x 10^-9 grams. If she has 4.2 x 10^3 particles, what is the total mass of all the particles in grams?

• 1.05 x 10^-5 grams

• 2.8 x 10^-4 grams

• 5.6 x 10^-6 grams

• 1.47 x 10^-5 grams

A car travels 1.2 x 10^5 meters in a race. If the race is 3.0 x 10^2 times longer, how long is the race in meters?

• 2.4 x 10^7 meters

• 1.8 x 10^6 meters

• 3.6 x 10^7 meters

• 4.5 x 10^8 meters

A cell phone battery can hold 2.5 x 10^4 milliamp hours. If a charger can deliver 5.0 x 10^2 milliamp hours per hour, how many hours will it take to fully charge the battery?

• 25 hours

• 100 hours

• 75 hours

• 50 hours

The distance from Earth to a star is approximately 4.0 x 10^16 meters. If a spaceship travels at a speed of 2.0 x 10^7 meters per hour, how many hours will it take to reach the star?

• 3.0 x 10^7 hours

• 5.0 x 10^10 hours

• 1.0 x 10^8 hours

• 2.0 x 10^9 hours

A factory produces 1.5 x 10^6 toys in a year. If the factory operates for 2.0 x 10^2 days a year, how many toys does it produce per day?

• 5000

• 10000

• 6000

• 7500

A water reservoir holds 3.0 x 10^5 liters of water. If 1.5 x 10^2 liters are used each day, how many days will the water last?

• 1000 days

• 3000 days

• 2000 days

• 1500 days

A computer can process 2.0 x 10^8 calculations per second. How many calculations can it process in 3.0 x 10^2 seconds?

• 8.0 x 10^9

• 4.0 x 10^10

• 6.0 x 10^10

• 1.2 x 10^11

A small planet has a diameter of 5.0 x 10^3 kilometers. If a larger planet has a diameter of 2.0 x 10^1 times that of the small planet, what is the diameter of the larger planet in kilometers?

• 1.0 x 10^4 km

• 5.0 x 10^4 km

• 2.0 x 10^6 km

• 1.0 x 10^5 km

A biologist studies a bacteria population that doubles every hour. If the initial population is 1.0 x 10^3 bacteria, how many bacteria will there be after 5 hours?

• 2.5 x 10^4

• 1.0 x 10^5

• 3.2 x 10^4

• 4.0 x 10^3

A satellite orbits Earth at an altitude of 3.6 x 10^7 meters. If it travels at a speed of 1.5 x 10^4 meters per second, how far will it travel in 2.0 x 10^2 seconds?

• 3.0 x 10^6 meters

• 4.5 x 10^6 meters

• 2.0 x 10^6 meters

• 1.2 x 10^6 meters